http://www.ck12.org Chapter 12. Rigid Transformations
- Verify that a translation is an isometry using the triangle from #15.
- If 4 A′B′C′was thepreimageand 4 ABCwas the image, write the translation rule for #16.
For questions 19-21, name each vector and find its component form.
19.
20.
21.
For questions 22-24, plot and correctly label each vector.
22.
⇀
AB=〈 4 ,− 3 〉
23.⇀
CD=〈− 6 , 8 〉
24.⇀
F E=〈− 2 , 0 〉- The coordinates of 4 DEFareD( 4 ,− 2 ),E( 7 ,− 4 )andF( 5 , 3 ). Translate 4 DEFusing the vector〈 5 , 11 〉and
find the coordinates of 4 D′E′F′. - The coordinates of quadrilateralQUADareQ(− 6 , 1 ),U(− 3 , 7 ),A( 4 ,− 2 )andD( 1 ,− 8 ). TranslateQUAD
using the vector〈− 3 ,− 7 〉and find the coordinates ofQ′U′A′D′.
For problems 27-29, write the translation rule as a translation vector.
27.(x,y)→(x− 3 ,y+ 8 )
28.(x,y)→(x+ 9 ,y− 12 )
29.(x,y)→(x,y− 7 )For problems 30-32, write the translation vector as a translation rule.
30.〈− 7 , 2 〉
31.〈 11 , 25 〉
32.〈 15 ,− 9 〉